1999
DOI: 10.1007/3-540-48236-9_13
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An Active Contour Model without Edges

Abstract: Abstract. In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford-Shah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. The model is a combination between more classical active contour models using mean curvature motion techniques, and the Mumford-Shah model for segmentation. We minimize an energy which can be seen as a particular case of the so… Show more

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Cited by 490 publications
(550 citation statements)
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“…The Chan-Vese active contour [30] is a region-based level-set model which is particularly suited to 2D-GE image segmentation due to its robustness to the presence of noise, its topological adaptability, as well as its capability of detecting smooth boundaries or boundaries that are not defined by gradient, as is the case with protein spots. The mathematical formulation of the Chan-Vese active contour adopts the reduced case of the Mumford-Shah problem [31], resulting in the following evolution equation: …”
Section: The Chan-vese Active Contour On 2d-ge Imagesmentioning
confidence: 99%
“…The Chan-Vese active contour [30] is a region-based level-set model which is particularly suited to 2D-GE image segmentation due to its robustness to the presence of noise, its topological adaptability, as well as its capability of detecting smooth boundaries or boundaries that are not defined by gradient, as is the case with protein spots. The mathematical formulation of the Chan-Vese active contour adopts the reduced case of the Mumford-Shah problem [31], resulting in the following evolution equation: …”
Section: The Chan-vese Active Contour On 2d-ge Imagesmentioning
confidence: 99%
“…To our knowledge, there have been no solutions proposed for carpal tunnel segmentation other than the proposed method. Therefore, two popular deformable model-based methods, the conventional snake [19] and the Chan-Vese method [33], were selected for comparison. For the conventional snake, it is firstly considered that an initial contour is required for snake deformation on each image slice.…”
Section: Comparative Studymentioning
confidence: 99%
“…4). As to the Chan-Vese method, which does not require an explicit initial contour, it can achieve segmentation by evolving an implicit curve (i.e., zero-level) based on the deduction of Euler-Lagrange equation [33]. Overall, the parameters of the Chan-Vese and conventional snake methods were selected empirically to obtain the best results.…”
Section: Comparative Studymentioning
confidence: 99%
“…Those two steps are implemented iteratively until some convergent criterion is satisfied. This kind minimization strategy is a common choice in variational image segmentation algorithms [7,10].…”
Section: The Variational Formulation Of Sar Image Segmentationmentioning
confidence: 99%
“…Using of variational methods in image segmentation has been popular in past decades [5][6][7][8]. Because variational models can combine image information and prior information in a unified framework, the segmentation results are more robust compared to some classical methods.…”
Section: Introductionmentioning
confidence: 99%